Please Help

JMI

I was gone yesterday during math class due to a math competition and I missed partial fraction decomposition. I was able to figure out how to do it when the degree of the numerator is less than the denominator but how do you do it when the degree of the numerator is more than the denominator.
example:
x^4/((x-1)^3)

**Posted:** Wed Feb 09, 2005 5:58 pm

jmerry

When the degree of the numerator is at least as big as the degree of the denomnator, there will be a polynomial part:
$\frac{x^4}{(x-1)^3}=x+3+\frac6{x-1}+\frac4{(x-1)^2}+\frac1{(x-1)^3}$

The polynomial part can be found by long division.

**Posted:** Wed Feb 09, 2005 6:46 pm